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Jim's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measure 121 feet.
If |G|=p^n for some prime p, and 1 is not equal to H, a normal subgroup of G, show that H intersect Z(G) is not equal to 1.
Problem from Lewis Carroll: There are two cups, the first one contains 50 spoonfuls of brandy, the second one 50 spoonfuls of water.
Show that S'_n=A_n if n is not equal to 2 and conclude that S_n is not solvable if n is greater than or equal to 5.
American pro. plans to lay off 10% of its employees in its aerospace division and 15% of the employees in its agricultural division.
How many units (x) have to be completed by the employees in a month in order for the company's monthly revenue double the salary of all the employees?
A local horse rancher died early one morning and his will bequeathed his herd of racehorses to his three sons.
Jane Manning, an outside business woman, uses her car for both business and pleasure. Last year, she traveled 30,000 miles using 900 gallons of gas.
Show that Z(II_alpha G_alpha)=II_alpha Z(G_alpha). Provide complete and step by step solution for the question.
There were 4.91 liters of solution B available in the science lab. Wayne used 0.87 of that amount.
One serving of Oaties breakfast cereal contains 4 grams of protein and 20 grams of carbohydrate.
You want to explain 2+ 4 + 6 + . . . + 2n = n (n + 1), to a class of students with diverse learning styles.
You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price.
Show that Q_3 is not isomorphic with either the dihedral group D_6 or the alternating group A_4.
A company is considering an investment in a machine that costs $54,000 and would result in cash savings of $15,000 per year for 5 years.
Find the way to estimate the number of grubs in a lawn, that contains an average of 3.8 grubs per square foot.
Without solving the equation or factoring, detemine the solution(s) to the equation, x^2+4x-5=0, using only the graph.
Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickles but three times as many quarters as dimes.
The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2). The distance between the points (6,4) and (18,4).
Find the domain of the following: g(x)=5^x Explain how you obtained your answer.
You have found three investment choices for a one-year deposit: Compute the EAR for 9% APR compounded daily.
How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2.
Raising rabbits. Before Roland sold two female rabbits, half of his rabbits were female. After the sale, only onethird of his rabbits were female.
A lottery has one $2000 prize, two $1000 prizes, and ten $500 prizes. Two thousand tickets are sold at $5 each.
There is no requirement to solve the equations just need to simply translate them. Identify the variables, constants, and coefficients.